SOLUTION: The hypotenuse of a right triangle is 9 m long. The longer leg is 1 m longer than the shorter leg. Find the side lengths of the triangle.
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-> SOLUTION: The hypotenuse of a right triangle is 9 m long. The longer leg is 1 m longer than the shorter leg. Find the side lengths of the triangle.
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Question 1200080: The hypotenuse of a right triangle is 9 m long. The longer leg is 1 m longer than the shorter leg. Find the side lengths of the triangle. Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website! The hypotenuse of a right triangle is 9 m long. The longer leg is 1 m longer than the shorter leg. Find the side lengths of the triangle.
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a^2 + b^2 = 9^2
a^2 + (a+1)^2 = 81
2a^2 + 2a + 1 = 81
a^2 + a = 40
a^2 + a + 0.25 = 40.25
(a+0.5)^2 = sqrt(40.25)
a + 1/2 = sqrt(40.25)
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a + 1/2 = -sqrt(40.25) ---> negative value, ignore
